Question

Which equation for the circle with center (4,8) and radius2?

Answer 1

ANSWER:

D. (x - 4)² + (y - 8)² = 4

STEP-BY-STEP EXPLANATION:

The equation of the circle has the following form:

$\left(x−a\right)^2+\left(y−b\right)^2=r^2$

Where (a,b) is the center and r is the radius, we substitute each value and obtain the correct equation:

$\begin{gathered} \left(x-4\right)^2+\left(y-8\right)^2=2^2 \\ \\ \left(x-4\right)^2+\left(y-8\right)^2=4 \end{gathered}$

So the correct answer is option D. (x - 4)² + (y - 8)² = 4